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New Approach to Mathematical Model of Elastic in Two-Dimensional Composites

  • Piotr Drygaś
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

This paper is devoted to boundary value problems for elastic problems modelled by the biharmonic equation in two-dimensional composites. All the problems are studied via the method of complex potentials. The considered boundary value problems for analytic functions are reduced to functional-differential equations. Applications to calculation of the effective properties tensor are discussed.

Keywords

Functional equation Two-dimensional elastic composite Eisenstein and Natanzon series Effective stress properties 

Mathematics Subject Classification (2010)

Primary 30E25; Secondary 74Q15 

Notes

Acknowledgements

The research has been partially supported by the Centre for Innovation and Transfer of Natural Science and Engineering Knowledge of University of Rzeszów (grant No. WMP/GD-09/2016).

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Faculty of Mathematics and Natural SciencesUniversity of RzeszówRzeszówPoland

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